210010002100001 has 2 divisors, whose sum is σ = 210010002100002. Its totient is φ = 210010002100000.

The previous prime is 210010002099973. The next prime is 210010002100097. The reversal of 210010002100001 is 100001200010012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161004401940001 + 49005600160000 = 12688751^2 + 7000400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210010002100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (210010002100601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105005001050000 + 105005001050001.

It is an arithmetic number, because the mean of its divisors is an integer number (105005001050001).

Almost surely, 2^{210010002100001} is an apocalyptic number.

It is an amenable number.

210010002100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210010002100001 is an equidigital number, since it uses as much as digits as its factorization.

210010002100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210010002100001 its reverse (100001200010012), we get a palindrome (310011202110013).

The spelling of 210010002100001 in words is "two hundred ten trillion, ten billion, two million, one hundred thousand, one".